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Finding the Fourth Proportional to 3,086.99, 4,630.94 and 895.43

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Solution

The fourth proportional to 3,086.99, 4,630.94 and 895.43 is: 1,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.99 : 4,630.94 = 895.43 : x
  2. Step 2: Convert to fraction form
    3,086.99/4,630.94 = 895.43/x
  3. Step 3: Cross multiply
    3,086.99x = 4,630.94 × 895.43
  4. Step 4: Simplify right side
    3,086.99x = 4,146,693.06
  5. Step 5: Solve for x
    x = 4,146,693.06/3,086.99
  6. Step 6: Final answer
    x = 1,343.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.